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Simplifying 75(15m + -24) = 6(40m + -5) Reorder the terms: 75(-24 + 15m) = 6(40m + -5) (-24 * 75 + 15m * 75) = 6(40m + -5) (-1800 + 1125m) = 6(40m + -5) Reorder the terms: -1800 + 1125m = 6(-5 + 40m) -1800 + 1125m = (-5 * 6 + 40m * 6) -1800 + 1125m = (-30 + 240m) Solving -1800 + 1125m = -30 + 240m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-240m' to each side of the equation. -1800 + 1125m + -240m = -30 + 240m + -240m Combine like terms: 1125m + -240m = 885m -1800 + 885m = -30 + 240m + -240m Combine like terms: 240m + -240m = 0 -1800 + 885m = -30 + 0 -1800 + 885m = -30 Add '1800' to each side of the equation. -1800 + 1800 + 885m = -30 + 1800 Combine like terms: -1800 + 1800 = 0 0 + 885m = -30 + 1800 885m = -30 + 1800 Combine like terms: -30 + 1800 = 1770 885m = 1770 Divide each side by '885'. m = 2 Simplifying m = 2
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